메뉴 건너뛰기




Volumn 30, Issue 4, 1999, Pages 833-847

Existence and behavior of solutions to the Landau-Lifshitz equation

Author keywords

Harmonic map; Landau Lifshitz equation; Stable nontrivial solution

Indexed keywords


EID: 0033115515     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141097327951     Document Type: Article
Times cited : (12)

References (21)
  • 1
    • 0001314483 scopus 로고
    • On the existence of positive solutions of nonlinear elliptic boundary value problems
    • H. AMANN, On the existence of positive solutions of nonlinear elliptic boundary value problems, Indiana Univ. Math. J., 21 (1971), pp. 1025-146.
    • (1971) Indiana Univ. Math. J. , vol.21 , pp. 1025-1146
    • Amann, H.1
  • 2
    • 0000090215 scopus 로고
    • Asymptotic behavior of the Landau-Lifshitz model of ferromagnetism
    • G. ANZELLOTTI, S. BALDO, AND A. VISINTIN, Asymptotic behavior of the Landau-Lifshitz model of ferromagnetism, Appl. Math. Optim., 23 (1991), pp. 171-192.
    • (1991) Appl. Math. Optim. , vol.23 , pp. 171-192
    • Anzellotti, G.1    Baldo, S.2    Visintin, A.3
  • 4
    • 0000622588 scopus 로고
    • Generation of analytic semigroups by elliptic operators of second order in Hölder spaces
    • S. CAMPANATO, Generation of analytic semigroups by elliptic operators of second order in Hölder spaces, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 4 (1981), pp. 495-512.
    • (1981) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.4 , pp. 495-512
    • Campanato, S.1
  • 5
    • 0009317627 scopus 로고
    • Generation of analytic semigroups in the Hölder topology by elliptic operators of second order with Neumann boundary condition
    • S. CAMPANATO, Generation of analytic semigroups in the Hölder topology by elliptic operators of second order with Neumann boundary condition, Matematiche (Catania), 35 (1980), pp. 61-72.
    • (1980) Matematiche (Catania) , vol.35 , pp. 61-72
    • Campanato, S.1
  • 6
    • 0001473350 scopus 로고
    • The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps
    • B. GUO AND M.-C. HONG, The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps, Calc. Var. Partial Differential Equations, 1 (1993), pp. 311-334.
    • (1993) Calc. Var. Partial Differential Equations , vol.1 , pp. 311-334
    • Guo, B.1    Hong, M.-C.2
  • 8
    • 0003304963 scopus 로고
    • Geometric theory of semilinear parabolic equations
    • Springer-Verlag, New York
    • D. HENRY, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics 840, Springer-Verlag, New York, 1981.
    • (1981) Lecture Notes in Mathematics , vol.840
    • Henry, D.1
  • 9
    • 0001380131 scopus 로고
    • Ginzburg-Landau equation and stable solutions in a nontrivial domain
    • S. JIMBO, Y. MORITA, AND J. ZHAI, Ginzburg-Landau equation and stable solutions in a nontrivial domain, Comm. Partial Differential Equations, 20 (1995), pp. 2093-2112.
    • (1995) Comm. Partial Differential Equations , vol.20 , pp. 2093-2112
    • Jimbo, S.1    Morita, Y.2    Zhai, J.3
  • 10
    • 0002826961 scopus 로고    scopus 로고
    • Ginzburg-Landau equation with magnetic effect: Non-simple-connected domains
    • S. JiMBO AND J. ZHAI, Ginzburg-Landau equation with magnetic effect: Non-simple-connected domains, J. Math. Soc. Japan, 50 (1998), pp. 663-684.
    • (1998) J. Math. Soc. Japan , vol.50 , pp. 663-684
    • Jimbo, S.1    Zhai, J.2
  • 11
    • 0003346969 scopus 로고
    • Perturbation theory for linear operators
    • Springer-Verlag, New York
    • T. KATO, Perturbation Theory for Linear Operators, Die Grundlehren der Mathematischen Wissenschaften 132, Springer-Verlag, New York, 1966.
    • (1966) Die Grundlehren Der Mathematischen Wissenschaften , vol.132
    • Kato, T.1
  • 13
    • 0000060534 scopus 로고
    • On the theory of the dispersion of magnetic permeability in ferromagnetic bodies
    • L.D. LANDAU AND E.M. LIFSHITZ, On the theory of the dispersion of magnetic permeability in ferromagnetic bodies, J. Phys. Z. Sowjetunion, 8 (1935), pp. 153-169; reproduced in Collected Papers of L.D. Landau, Pergamon, New York, 1965, pp. 101-114.
    • (1935) J. Phys. Z. Sowjetunion , vol.8 , pp. 153-169
    • Landau, L.D.1    Lifshitz, E.M.2
  • 14
    • 0009415097 scopus 로고
    • reproduced in Collected Papers of L.D. Landau, Pergamon, New York
    • L.D. LANDAU AND E.M. LIFSHITZ, On the theory of the dispersion of magnetic permeability in ferromagnetic bodies, J. Phys. Z. Sowjetunion, 8 (1935), pp. 153-169; reproduced in Collected Papers of L.D. Landau, Pergamon, New York, 1965, pp. 101-114.
    • (1965) , pp. 101-114
  • 15
    • 0010998751 scopus 로고
    • Dynamics of interacting magnetic vortices in a model Landau-Lifshitz equation
    • N. PAPANICOLAOU AND W. J. ZAKRZEWSKI, Dynamics of interacting magnetic vortices in a model Landau-Lifshitz equation, Phys. D, 80 (1995), pp. 225-245.
    • (1995) Phys. D , vol.80 , pp. 225-245
    • Papanicolaou, N.1    Zakrzewski, W.J.2
  • 16
    • 0002924905 scopus 로고
    • On Landau-Lifshitz' equations for ferromagnetism
    • A. VISINTIN, On Landau-Lifshitz' equations for ferromagnetism, Japan J. Appl. Math., 2 (1985), pp. 69-84.
    • (1985) Japan J. Appl. Math. , vol.2 , pp. 69-84
    • Visintin, A.1
  • 17
    • 22044442786 scopus 로고    scopus 로고
    • Heat flow with tangent penalization, converges to mean curvature motion
    • J. ZHAI, Heat flow with tangent penalization, converges to mean curvature motion, Proc. Roy. Soc. Edinburgh Sect. A, 128 (1998) pp. 875-894.
    • (1998) Proc. Roy. Soc. Edinburgh Sect. A , vol.128 , pp. 875-894
    • Zhai, J.1
  • 18
    • 0031126246 scopus 로고    scopus 로고
    • Heat flow with tangent penalization
    • J. ZHAI, Heat flow with tangent penalization, Nonlinear Anal., 28 (1997), pp. 1333-1346.
    • (1997) Nonlinear Anal. , vol.28 , pp. 1333-1346
    • Zhai, J.1
  • 19
    • 3142611778 scopus 로고    scopus 로고
    • Non-constant stable solutions to Landau-Lifshitz equation
    • J. ZHAI, Non-constant stable solutions to Landau-Lifshitz equation, Calc. Var. Partial Differential Equations, 7 (1998) pp. 159-171.
    • (1998) Calc. Var. Partial Differential Equations , vol.7 , pp. 159-171
    • Zhai, J.1
  • 20
    • 0040092382 scopus 로고    scopus 로고
    • Dynamics of domain walls in ferromagnets and weak ferromagnets
    • J. ZHAI, Dynamics of domain walls in ferromagnets and weak ferromagnets, Phys. Lett. A, 234 (1997), pp. 488-492.
    • (1997) Phys. Lett. A , vol.234 , pp. 488-492
    • Zhai, J.1
  • 21
    • 0041783255 scopus 로고    scopus 로고
    • Theoretical velocity of domain wall motion in ferromagnets
    • J. ZHAI, Theoretical velocity of domain wall motion in ferromagnets, Phys. Lett. A, 242 (1998), pp. 266-270.
    • (1998) Phys. Lett. A , vol.242 , pp. 266-270
    • Zhai, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.